BHS Math Guide

Reasoning with Equations and Inequalities

Core Guide

Secondary Math I

Solve systems of equations. Build on student experiences graphing and solving systems of linear equations from middle school. Include cases where the two equations describe the same line—yielding infinitely many solutions—and cases where two equations describe parallel lines—yielding no solution; connect to GPE.5, which requires students to prove the slope criteria for parallel lines (Standard A.REI.5-6) Standard I.A.REI.6: Solve systems of linear equations exactly and approximately (numerically, algebraically, graphically), focusing on pairs of linear equations in two variables.

Concepts and Skills to Master • Solve a system of linear equations using various representations (numerically, algebraically, and graphically). • Use structure to predict one, infinitely many or no solutions. Related Standards: Current Course Related Standards: Future Courses

I.A.REI.3, I.A.REI.5, I.A.REI.10, I.A.REI.11, I.A.REI.12, I.A.CED.2, I.A.CED.3, I.A.CED.4, I.F.IF.9, I.F.BF.1, I.G.GPE.4, I.G.GPE.5

II.A.REI.7, II.A.APR.1, II.A.CED.1, II.A.CED.2, II.A.CED.4, II.A.SSE.2, II.A.SSE.3, II.F.LE.3; III.A.CED.2, III.A.CED.3, III.A.REI.11, P.N.VM.6, P.N.VM.7, P.N.VM.8, P.N.VM.13, P.A.REI.8, P.A.REI.9

Support for Teachers

Critical Background Knowledge •

Solve systems of equations graphically (8.EE.8) • Use properties of operations to generate equivalent expressions (7.EE.1) Academic Vocabulary System of equations, consistent and inconsistent systems, dependent and independent systems, solution set Resources Curriculum Resources: http://www.uen.org/core/core.do?courseNum=5600#70134

I.A.REI.6

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